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Finding the Fourth Proportional to 10,200.35, 15,302.90 and 3,180

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Solution

The fourth proportional to 10,200.35, 15,302.90 and 3,180 is: 4,770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.35 : 15,302.90 = 3,180 : x
  2. Step 2: Convert to fraction form
    10,200.35/15,302.90 = 3,180/x
  3. Step 3: Cross multiply
    10,200.35x = 15,302.90 × 3,180
  4. Step 4: Simplify right side
    10,200.35x = 48,663,222
  5. Step 5: Solve for x
    x = 48,663,222/10,200.35
  6. Step 6: Final answer
    x = 4,770.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.